Least Common Multiple of 7675 and 7683
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7675 and 7683 the smallest integer that is 58967025 that is divisible by both numbers.
Least Common Multiple (LCM) of 7675 and 7683 is 58967025.
LCM(7675,7683) = 58967025
LCM of 7675 and 7683
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7675 and 7683 by Prime method
- Least Common Multiple of 7675 and 7683 with GCF Formula
LCM of 7675 and 7683 is 58967025
Least common multiple can be found by multiplying the highest exponent prime factors of 7675 and 7683. First we will calculate the prime factors of 7675 and 7683.
Prime Factorization of 7675
| 5 | 7675 |
| 5 | 1535 |
| 307 | 307 |
| 1 |
Prime factors of 7675 are 5,307. Prime factorization of 7675 in exponential form is:
7675 = 52×3071
Prime Factorization of 7683
| 3 | 7683 |
| 13 | 2561 |
| 197 | 197 |
| 1 |
Prime factors of 7683 are 3, 13,197. Prime factorization of 7683 in exponential form is:
7683 = 31×131×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 7675 and 7683.
LCM(7675,7683) = 31×52×131×1971×3071
LCM(7675,7683) = 58967025
Factors of 7675
List of positive integer factors of 7675 that divides 7675 without a remainder.
1, 5, 25, 307, 1535, 7675
Factors of 7683
List of positive integer factors of 7683 that divides 7683 without a remainder.
1, 3, 13, 39, 197, 591, 2561, 7683
Least Common Multiple of 7675 and 7683 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7675 and 7683, than apply into the LCM equation.
GCF(7675,7683) = 1
LCM(7675,7683) = ( 7675 × 7683) / 1
LCM(7675,7683) = 58967025 / 1
LCM(7675,7683) = 58967025
Properties of LCM 7675 and 7683
(i) The LCM of 7683 and 7675 is associative
LCM of 7675 and 7683 = LCM of 7683 and 7675
Related Least Common Multiples of 7675
Related Least Common Multiples of 7683
Frequently Asked Questions on LCM of 7675 and 7683
1. What is the LCM of 7675 and 7683?
Answer: LCM of 7675 and 7683 is 58967025.
2. What are the Factors of 7675?
Answer: Factors of 7675 are 1, 5, 25, 307, 1535, 7675. There are 6 integers that are factors of 7675. The greatest factor of 7675 is 7675.
3. What are the Factors of 7683?
Answer: Factors of 7683 are 1, 3, 13, 39, 197, 591, 2561, 7683. There are 8 integers that are factors of 7683. The greatest factor of 7683 is 7683.
4. How to Find the LCM of 7675 and 7683?
Answer:
Least Common Multiple of 7675 and 7683 = 58967025
Step 1: Find the prime factorization of 7675
7675 = 5 x 5 x 307
Step 2: Find the prime factorization of 7683
7683 = 3 x 13 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58967025 = 3 x 5 x 5 x 13 x 197 x 307
Step 4: Therefore, the least common multiple of 7675 and 7683 is 58967025.